Answer:
The probability that the second card drawn is red, given that the first card was a heart is 0.1225
Step-by-step explanation:
Total cards in a deck = 52
Total red cards = 26
Heart cards = 13
Probability of getting red card =
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement = 
So, the probability that the second card drawn is red, given that the first card was a heart = 
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225
SA = LH + LW + WH + 2(1/2LH)
SA = 4*2 + 5*2 + 3*2 + 2*1/2*4*3
SA = 8 + 10 + 6 + 12
SA = 36
Answer: im just going to guess 35 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is

. We have

so this vector field is not conservative.
- - -
Another way of determining the same result: We want to find a scalar function

such that its gradient is equal to the given vector field,

:

For this to happen, we need to satisfy

From the first equation, integrating with respect to

yields

Note that

*must* be a function of

only.
Now differentiate with respect to

and we have

but this contradicts the assumption that

is independent of

. So, the scalar potential function does not exist, and therefore the vector field is not conservative.